摘要
设P ,Q和T是完备度量空间 (X ,d)中的交换自映射 ,Singh ,S .L .和Singh ,S .P .证明了P ,Q和T有唯一公共不动点。该文用相容映射代替交换映射且使用的为 4个函数。设A ,B ,S和T是完备度量空间 (X ,d)的自映射 ,且A ,S和B ,T是相容的 ,则A ,S和B ,T有唯一公共不动点。
Let P,Q and T be self maps of a complete metric space (X,d) such that PT=TP,QT=TQ,Singh,S.L. and Singh,S P.prove P,Q and T have a unique common fixed point.This paper applies compatible maps in lieu of commuting maps,and uses four functions as opposed to three.Let A,B,S and T be self maps of a metric space (X,d),the pairs A,S and B,T are compatible,then A,B,S and T have a unique common fixed point.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2001年第5期557-560,共4页
Journal of Nanjing University of Science and Technology
